51246343872000 has 1600 divisors, whose sum is σ = 203035547018304. Its totient is φ = 12856452710400.

The previous prime is 51246343871897. The next prime is 51246343872013. The reversal of 51246343872000 is 27834364215.

51246343872000 is a `hidden beast` number, since 5 + 1 + 2 + 4 + 6 + 3 + 438 + 7 + 200 + 0 = 666.

51246343872000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 21415102804 + ... + 21415105196.

Almost surely, 2^{51246343872000} is an apocalyptic number.

51246343872000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51246343872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101517773509152).

51246343872000 is an abundant number, since it is smaller than the sum of its proper divisors (151789203146304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51246343872000 is an frugal number, since it uses more digits than its factorization.

51246343872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2470 (or 2420 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 51246343872000 in words is "fifty-one trillion, two hundred forty-six billion, three hundred forty-three million, eight hundred seventy-two thousand".